Search a number
-
+
3490146720 = 253256139733
BaseRepresentation
bin1101000000000111…
…0110100110100000
3100000020022211020100
43100001312212200
524121434143340
61334153542400
7152326520604
oct32001664640
910006284210
103490146720
111531107985
12814a14a00
134380c9798
14251755504
15156612830
hexd00769a0

3490146720 has 144 divisors (see below), whose sum is σ = 12105678312. Its totient is φ = 915425280.

The previous prime is 3490146703. The next prime is 3490146721. The reversal of 3490146720 is 276410943.

3490146720 is a `hidden beast` number, since 3 + 490 + 146 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2721082896 + 769063824 = 52164^2 + 27732^2 .

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

It is a super-2 number, since 2×34901467202 = 24362248254253516800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3490146721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67974 + ... + 107706.

Almost surely, 23490146720 is an apocalyptic number.

3490146720 is a gapful number since it is divisible by the number (30) 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 3490146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6052839156).

3490146720 is an abundant number, since it is smaller than the sum of its proper divisors (8615531592).

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

3490146720 is a wasteful number, since it uses less digits than its factorization.

3490146720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39815 (or 39804 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3490146720 is about 59077.4637234877. The cubic root of 3490146720 is about 1516.8683677056.

The spelling of 3490146720 in words is "three billion, four hundred ninety million, one hundred forty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 72 80 90 96 120 122 144 160 180 183 240 244 288 305 360 366 480 488 549 610 720 732 915 976 1098 1220 1440 1464 1830 1952 2196 2440 2745 2928 3660 4392 4880 5490 5856 7320 8784 9760 10980 14640 17568 21960 29280 39733 43920 79466 87840 119199 158932 198665 238398 317864 357597 397330 476796 595995 635728 715194 794660 953592 1191990 1271456 1430388 1589320 1787985 1907184 2383980 2423713 2860776 3178640 3575970 3814368 4767960 4847426 5721552 6357280 7151940 7271139 9535920 9694852 11443104 12118565 14303880 14542278 19071840 19389704 21813417 24237130 28607760 29084556 36355695 38779408 43626834 48474260 57215520 58169112 72711390 77558816 87253668 96948520 109067085 116338224 145422780 174507336 193897040 218134170 232676448 290845560 349014672 387794080 436268340 581691120 698029344 872536680 1163382240 1745073360 3490146720