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3372070752 = 253219976353
BaseRepresentation
bin1100100011111101…
…1011011101100000
322201000010221110100
43020333123131200
523401222231002
61314335102400
7146364062031
oct31077333540
98630127410
103372070752
11148049a736
127a1371a00
134197c754b
1423dbbaa88
1514b08c11c
hexc8fdb760

3372070752 has 144 divisors (see below), whose sum is σ = 10199694960. Its totient is φ = 1053720576.

The previous prime is 3372070727. The next prime is 3372070777. The reversal of 3372070752 is 2570702733.

It is an interprime number because it is at equal distance from previous prime (3372070727) and next prime (3372070777).

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

It is a super-2 number, since 2×33720707522 = 22741722312987691008, which contains 22 as substring.

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

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, 527608 + ... + 533960.

It is an arithmetic number, because the mean of its divisors is an integer number (70831215).

Almost surely, 23372070752 is an apocalyptic number.

3372070752 is a gapful number since it is divisible by the number (32) 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 3372070752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099847480).

3372070752 is an abundant number, since it is smaller than the sum of its proper divisors (6827624208).

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

3372070752 is a wasteful number, since it uses less digits than its factorization.

3372070752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6485 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 36.

The square root of 3372070752 is about 58069.5337677168. The cubic root of 3372070752 is about 1499.5659117237.

The spelling of 3372070752 in words is "three billion, three hundred seventy-two million, seventy thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 97 114 144 152 171 194 228 288 291 304 342 388 456 582 608 684 776 873 912 1164 1368 1552 1746 1824 1843 2328 2736 3104 3492 3686 4656 5472 5529 6353 6984 7372 9312 11058 12706 13968 14744 16587 19059 22116 25412 27936 29488 33174 38118 44232 50824 57177 58976 66348 76236 88464 101648 114354 120707 132696 152472 176928 203296 228708 241414 265392 304944 362121 457416 482828 530784 609888 616241 724242 914832 965656 1086363 1232482 1448484 1829664 1848723 1931312 2172726 2464964 2896968 3697446 3862624 4345452 4929928 5546169 5793936 7394892 8690904 9859856 11092338 11587872 11708579 14789784 17381808 19719712 22184676 23417158 29579568 34763616 35125737 44369352 46834316 59159136 70251474 88738704 93668632 105377211 140502948 177477408 187337264 210754422 281005896 374674528 421508844 562011792 843017688 1124023584 1686035376 3372070752