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34390152 = 233219231093
BaseRepresentation
bin1000001100110…
…0000010001000
32101201012102100
42003030002020
532300441102
63225033400
7565211556
oct203140210
971635370
1034390152
1118459915
12b625860
137181304
1447d2bd6
153044a1c
hex20cc088

34390152 has 96 divisors (see below), whose sum is σ = 102398400. Its totient is φ = 10378368.

The previous prime is 34390127. The next prime is 34390177. The reversal of 34390152 is 25109343.

It is an interprime number because it is at equal distance from previous prime (34390127) and next prime (34390177).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30918 + ... + 32010.

It is an arithmetic number, because the mean of its divisors is an integer number (1066650).

Almost surely, 234390152 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 34390152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51199200).

34390152 is an abundant number, since it is smaller than the sum of its proper divisors (68008248).

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

34390152 is a wasteful number, since it uses less digits than its factorization.

34390152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 34390152 is about 5864.3117243203. The cubic root of 34390152 is about 325.1956281780.

Adding to 34390152 its reverse (25109343), we get a palindrome (59499495).

The spelling of 34390152 in words is "thirty-four million, three hundred ninety thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 36 38 46 57 69 72 76 92 114 138 152 171 184 207 228 276 342 414 437 456 552 684 828 874 1093 1311 1368 1656 1748 2186 2622 3279 3496 3933 4372 5244 6558 7866 8744 9837 10488 13116 15732 19674 20767 25139 26232 31464 39348 41534 50278 62301 75417 78696 83068 100556 124602 150834 166136 186903 201112 226251 249204 301668 373806 452502 477641 498408 603336 747612 905004 955282 1432923 1495224 1810008 1910564 2865846 3821128 4298769 5731692 8597538 11463384 17195076 34390152