Search a number
-
+
1434963360 = 25359193253
BaseRepresentation
bin101010110000111…
…1100110110100000
310201000010200200010
41111201330312200
510414322311420
6354220124520
750362662435
oct12541746640
93630120603
101434963360
11676aaa236
12340696740
1319b3a095c
14d8813b8c
1585e9e4e0
hex5587cda0

1434963360 has 96 divisors (see below), whose sum is σ = 4526444160. Its totient is φ = 382123008.

The previous prime is 1434963359. The next prime is 1434963373. The reversal of 1434963360 is 633694341.

It is a tau number, because it is divible by the number of its divisors (96).

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, 439494 + ... + 442746.

It is an arithmetic number, because the mean of its divisors is an integer number (47150460).

Almost surely, 21434963360 is an apocalyptic number.

1434963360 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 1434963360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263222080).

1434963360 is an abundant number, since it is smaller than the sum of its proper divisors (3091480800).

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

1434963360 is a wasteful number, since it uses less digits than its factorization.

1434963360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The square root of 1434963360 is about 37880.9102319361. The cubic root of 1434963360 is about 1127.9251245506.

The spelling of 1434963360 in words is "one billion, four hundred thirty-four million, nine hundred sixty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 919 1838 2757 3253 3676 4595 5514 6506 7352 9190 9759 11028 13012 13785 14704 16265 18380 19518 22056 26024 27570 29408 32530 36760 39036 44112 48795 52048 55140 65060 73520 78072 88224 97590 104096 110280 130120 147040 156144 195180 220560 260240 312288 390360 441120 520480 780720 1561440 2989507 5979014 8968521 11958028 14947535 17937042 23916056 29895070 35874084 44842605 47832112 59790140 71748168 89685210 95664224 119580280 143496336 179370420 239160560 286992672 358740840 478321120 717481680 1434963360