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4372261344 = 2532116720599
BaseRepresentation
bin1000001001001101…
…10110100111100000
3102021201011220000100
410010212312213200
532423244330334
62001504422400
7213230415423
oct40446664740
912251156010
104372261344
111944033730
12a20317a00
13548aa03b9
142d69779ba
151a8ca9c99
hex1049b69e0

4372261344 has 144 divisors (see below), whose sum is σ = 13767062400. Its totient is φ = 1305089280.

The previous prime is 4372261321. The next prime is 4372261367. The reversal of 4372261344 is 4431622734.

4372261344 is a `hidden beast` number, since 4 + 37 + 2 + 2 + 613 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4372261321) and next prime (4372261367).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4372261299 and 4372261308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201957 + ... + 222555.

It is an arithmetic number, because the mean of its divisors is an integer number (95604600).

Almost surely, 24372261344 is an apocalyptic number.

4372261344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4372261344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6883531200).

4372261344 is an abundant number, since it is smaller than the sum of its proper divisors (9394801056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4372261344 is a wasteful number, since it uses less digits than its factorization.

4372261344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20693 (or 20682 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 4372261344 is about 66123.0772423668. The cubic root of 4372261344 is about 1635.1918143222.

The spelling of 4372261344 in words is "four billion, three hundred seventy-two million, two hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 67 72 88 96 99 132 134 144 176 198 201 264 268 288 352 396 402 528 536 603 737 792 804 1056 1072 1206 1474 1584 1608 2144 2211 2412 2948 3168 3216 4422 4824 5896 6432 6633 8844 9648 11792 13266 17688 19296 20599 23584 26532 35376 41198 53064 61797 70752 82396 106128 123594 164792 185391 212256 226589 247188 329584 370782 453178 494376 659168 679767 741564 906356 988752 1359534 1380133 1483128 1812712 1977504 2039301 2719068 2760266 2966256 3625424 4078602 4140399 5438136 5520532 5932512 7250848 8157204 8280798 10876272 11041064 12421197 15181463 16314408 16561596 21752544 22082128 24842394 30362926 32628816 33123192 44164256 45544389 49684788 60725852 65257632 66246384 91088778 99369576 121451704 132492768 136633167 182177556 198739152 242903408 273266334 364355112 397478304 485806816 546532668 728710224 1093065336 1457420448 2186130672 4372261344