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172399344 = 243131731597
BaseRepresentation
bin10100100011010…
…01101011110000
3110000101210102220
422101221223300
5323113234334
625035041040
74162240665
oct1221515360
9400353386
10172399344
11893511a7
12498a0180
1329942460
1418c79a6c
1510206449
hexa469af0

172399344 has 80 divisors (see below), whose sum is σ = 482698272. Its totient is φ = 52706304.

The previous prime is 172399343. The next prime is 172399349. The reversal of 172399344 is 443993271.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 172399296 and 172399305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172399343) 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, 107154 + ... + 108750.

Almost surely, 2172399344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172399344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241349136).

172399344 is an abundant number, since it is smaller than the sum of its proper divisors (310298928).

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

172399344 is a wasteful number, since it uses less digits than its factorization.

172399344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1788 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 172399344 is about 13130.0930689771. The cubic root of 172399344 is about 556.5598453201.

The spelling of 172399344 in words is "one hundred seventy-two million, three hundred ninety-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 173 208 312 346 519 624 692 1038 1384 1597 2076 2249 2768 3194 4152 4498 4791 6388 6747 8304 8996 9582 12776 13494 17992 19164 20761 25552 26988 35984 38328 41522 53976 62283 76656 83044 107952 124566 166088 249132 276281 332176 498264 552562 828843 996528 1105124 1657686 2210248 3315372 3591653 4420496 6630744 7183306 10774959 13261488 14366612 21549918 28733224 43099836 57466448 86199672 172399344