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332074320 = 24352635261
BaseRepresentation
bin10011110010110…
…000110101010000
3212010212010022220
4103302300311100
51140002334240
652541301040
711141404464
oct2362606520
9763763286
10332074320
111604a1396
1293264780
1353a4aca6
14321624a4
151e2475d0
hex13cb0d50

332074320 has 80 divisors (see below), whose sum is σ = 1033540992. Its totient is φ = 88199680.

The previous prime is 332074289. The next prime is 332074321. The reversal of 332074320 is 23470233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3320743202 = 220546708006924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332074321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60490 + ... + 65750.

Almost surely, 2332074320 is an apocalyptic number.

332074320 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 332074320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516770496).

332074320 is an abundant number, since it is smaller than the sum of its proper divisors (701466672).

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

332074320 is a wasteful number, since it uses less digits than its factorization.

332074320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 24.

The square root of 332074320 is about 18222.9064641182. The cubic root of 332074320 is about 692.4872218923.

332074320 divided by its sum of digits (24) gives a triangular number (13836430 = T5260).

The spelling of 332074320 in words is "three hundred thirty-two million, seventy-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 263 526 789 1052 1315 1578 2104 2630 3156 3945 4208 5260 5261 6312 7890 10520 10522 12624 15780 15783 21040 21044 26305 31560 31566 42088 52610 63120 63132 78915 84176 105220 126264 157830 210440 252528 315660 420880 631320 1262640 1383643 2767286 4150929 5534572 6918215 8301858 11069144 13836430 16603716 20754645 22138288 27672860 33207432 41509290 55345720 66414864 83018580 110691440 166037160 332074320