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1434574900 = 2252112944971
BaseRepresentation
bin101010110000001…
…1110000000110100
310200222101221210201
41111200132000310
510414222344100
6354203530244
750356454053
oct12540360064
93628357721
101434574900
116768643a0
12340529984
1319b295bb5
14d875239a
1585e2436a
hex5581e034

1434574900 has 72 divisors (see below), whose sum is σ = 3513212640. Its totient is φ = 503664000.

The previous prime is 1434574849. The next prime is 1434574919. The reversal of 1434574900 is 94754341.

It is a self number, because there is not a number n which added to its sum of digits gives 1434574900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9415 + ... + 54385.

It is an arithmetic number, because the mean of its divisors is an integer number (48794620).

Almost surely, 21434574900 is an apocalyptic number.

1434574900 is a gapful number since it is divisible by the number (10) 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 1434574900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756606320).

1434574900 is an abundant number, since it is smaller than the sum of its proper divisors (2078637740).

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

1434574900 is a wasteful number, since it uses less digits than its factorization.

1434574900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45025 (or 45018 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 1434574900 is about 37875.7825001676. The cubic root of 1434574900 is about 1127.8233348813.

The spelling of 1434574900 in words is "one billion, four hundred thirty-four million, five hundred seventy-four thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 15950 31900 44971 89942 179884 224855 449710 494681 899420 989362 1124275 1304159 1978724 2248550 2473405 2608318 4497100 4946810 5216636 6520795 9893620 12367025 13041590 14345749 24734050 26083180 28691498 32603975 49468100 57382996 65207950 71728745 130415900 143457490 286914980 358643725 717287450 1434574900