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1434020896 = 257111930631
BaseRepresentation
bin101010101111001…
…0110110000100000
310200221100210212001
41111132112300200
510414102132041
6354144013344
750351655640
oct12536266040
93627323761
101434020896
11676516140
12340301254
1319b130999
14d864a520
1585d65131
hex55796c20

1434020896 has 96 divisors (see below), whose sum is σ = 3705246720. Its totient is φ = 529286400.

The previous prime is 1434020851. The next prime is 1434020897. The reversal of 1434020896 is 6980204341.

It is not an unprimeable number, because it can be changed into a prime (1434020897) 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, 31501 + ... + 62131.

It is an arithmetic number, because the mean of its divisors is an integer number (38596320).

Almost surely, 21434020896 is an apocalyptic number.

1434020896 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 1434020896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852623360).

1434020896 is an abundant number, since it is smaller than the sum of its proper divisors (2271225824).

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

1434020896 is a wasteful number, since it uses less digits than its factorization.

1434020896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30678 (or 30670 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 1434020896 is about 37868.4683608936. The cubic root of 1434020896 is about 1127.6781352855.

The spelling of 1434020896 in words is "one billion, four hundred thirty-four million, twenty thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 76 77 88 112 133 152 154 176 209 224 266 304 308 352 418 532 608 616 836 1064 1232 1463 1672 2128 2464 2926 3344 4256 5852 6688 11704 23408 30631 46816 61262 122524 214417 245048 336941 428834 490096 581989 673882 857668 980192 1163978 1347764 1715336 2327956 2358587 2695528 3430672 4073923 4655912 4717174 5391056 6401879 6861344 8147846 9311824 9434348 10782112 12803758 16295692 18623648 18868696 25607516 32591384 37737392 44813153 51215032 65182768 75474784 89626306 102430064 130365536 179252612 204860128 358505224 717010448 1434020896