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401215332 = 22373107911
BaseRepresentation
bin10111111010100…
…000111101100100
31000221221211222010
4113322200331210
51310202342312
6103451234220
712641163000
oct2772407544
91027854863
10401215332
11196526021
12b2448970
136517882b
143b3dd700
152535393c
hex17ea0f64

401215332 has 96 divisors (see below), whose sum is σ = 1103155200. Its totient is φ = 113436960.

The previous prime is 401215307. The next prime is 401215357. The reversal of 401215332 is 233512104.

It is an interprime number because it is at equal distance from previous prime (401215307) and next prime (401215357).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 401215299 and 401215308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439957 + ... + 440867.

It is an arithmetic number, because the mean of its divisors is an integer number (11491200).

Almost surely, 2401215332 is an apocalyptic number.

401215332 is a gapful number since it is divisible by the number (42) 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 401215332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551577600).

401215332 is an abundant number, since it is smaller than the sum of its proper divisors (701939868).

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

401215332 is a wasteful number, since it uses less digits than its factorization.

401215332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 401215332 is about 20030.3602563708. The cubic root of 401215332 is about 737.5517654750.

Adding to 401215332 its reverse (233512104), we get a palindrome (634727436).

The spelling of 401215332 in words is "four hundred one million, two hundred fifteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 107 147 196 214 294 321 343 428 588 642 686 749 911 1029 1284 1372 1498 1822 2058 2247 2733 2996 3644 4116 4494 5243 5466 6377 8988 10486 10932 12754 15729 19131 20972 25508 31458 36701 38262 44639 62916 73402 76524 89278 97477 110103 133917 146804 178556 194954 220206 267834 292431 312473 389908 440412 535668 584862 624946 682339 937419 1169724 1249892 1364678 1874838 2047017 2729356 3749676 4094034 4776373 8188068 9552746 14329119 19105492 28658238 33434611 57316476 66869222 100303833 133738444 200607666 401215332