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1434435296 = 25723509547
BaseRepresentation
bin101010101111111…
…1011111011100000
310200222010212022012
41111133323323200
510414203412141
6354200532052
750355333050
oct12537737340
93628125265
101434435296
11676779518
12340481028
1319b2474a8
14d8717560
1585de7ceb
hex557fbee0

1434435296 has 96 divisors (see below), whose sum is σ = 3380590080. Its totient is φ = 585801216.

The previous prime is 1434435293. The next prime is 1434435337. The reversal of 1434435296 is 6925344341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434435293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2622095 + ... + 2622641.

It is an arithmetic number, because the mean of its divisors is an integer number (35214480).

Almost surely, 21434435296 is an apocalyptic number.

1434435296 is a gapful number since it is divisible by the number (16) 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 1434435296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690295040).

1434435296 is an abundant number, since it is smaller than the sum of its proper divisors (1946154784).

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

1434435296 is a wasteful number, since it uses less digits than its factorization.

1434435296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1088 counting only the distinct ones).

The product of its digits is 311040, while the sum is 41.

The square root of 1434435296 is about 37873.9395363091. The cubic root of 1434435296 is about 1127.7867494193.

The spelling of 1434435296 in words is "one billion, four hundred thirty-four million, four hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 509 547 644 736 1018 1094 1288 2036 2188 2576 3563 3829 4072 4376 5152 7126 7658 8144 8752 11707 12581 14252 15316 16288 17504 23414 25162 28504 30632 46828 50324 57008 61264 81949 88067 93656 100648 114016 122528 163898 176134 187312 201296 278423 327796 352268 374624 402592 556846 655592 704536 1113692 1311184 1409072 1948961 2227384 2622368 2818144 3897922 4454768 6403729 7795844 8909536 12807458 15591688 25614916 31183376 44826103 51229832 62366752 89652206 102459664 179304412 204919328 358608824 717217648 1434435296