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950119434 = 2321119318147
BaseRepresentation
bin111000101000011…
…010110000001010
32110012211001211200
4320220122300022
53421212310214
6234140205030
732354611335
oct7050326012
92405731750
10950119434
11448354880
12226239776
13121ac4264
149028561c
155862bd09
hex38a1ac0a

950119434 has 96 divisors (see below), whose sum is σ = 2440488960. Its totient is φ = 263930400.

The previous prime is 950119433. The next prime is 950119451. The reversal of 950119434 is 434911059.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (950119433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112549 + ... + 120695.

It is an arithmetic number, because the mean of its divisors is an integer number (25421760).

Almost surely, 2950119434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 950119434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220244480).

950119434 is an abundant number, since it is smaller than the sum of its proper divisors (1490369526).

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

950119434 is a wasteful number, since it uses less digits than its factorization.

950119434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8216 (or 8213 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 950119434 is about 30824.0074292750. The cubic root of 950119434 is about 983.0887670122.

The spelling of 950119434 in words is "nine hundred fifty million, one hundred nineteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 31 33 38 57 62 66 93 99 114 171 186 198 209 279 341 342 418 558 589 627 682 1023 1178 1254 1767 1881 2046 3069 3534 3762 5301 6138 6479 8147 10602 12958 16294 19437 24441 38874 48882 58311 73323 89617 116622 146646 154793 179234 252557 268851 309586 464379 505114 537702 757671 806553 928758 1393137 1515342 1613106 1702723 2273013 2778127 2786274 3405446 4546026 4798583 5108169 5556254 8334381 9597166 10216338 14395749 15324507 16668762 25003143 28791498 30649014 43187247 50006286 52784413 86374494 105568826 158353239 316706478 475059717 950119434