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1434032680 = 235373592699
BaseRepresentation
bin101010101111001…
…1001101000101000
310200221101102000111
41111132121220220
510414103021210
6354144144104
750352035203
oct12536315050
93627342014
101434032680
11676523a83
12340308034
1319b136162
14d865093a
1585d6888a
hex55799a28

1434032680 has 64 divisors (see below), whose sum is σ = 3324240000. Its totient is φ = 556349184.

The previous prime is 1434032647. The next prime is 1434032707. The reversal of 1434032680 is 862304341.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529971 + ... + 532669.

It is an arithmetic number, because the mean of its divisors is an integer number (51941250).

Almost surely, 21434032680 is an apocalyptic number.

1434032680 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 1434032680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662120000).

1434032680 is an abundant number, since it is smaller than the sum of its proper divisors (1890207320).

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

1434032680 is a wasteful number, since it uses less digits than its factorization.

1434032680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 1434032680 is about 37868.6239517625. The cubic root of 1434032680 is about 1127.6812241579.

The spelling of 1434032680 in words is "one billion, four hundred thirty-four million, thirty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 359 370 718 740 1436 1480 1795 2699 2872 3590 5398 7180 10796 13283 13495 14360 21592 26566 26990 53132 53980 66415 99863 106264 107960 132830 199726 265660 399452 499315 531320 798904 968941 998630 1937882 1997260 3875764 3994520 4844705 7751528 9689410 19378820 35850817 38757640 71701634 143403268 179254085 286806536 358508170 717016340 1434032680