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1434335968 = 2513171271597
BaseRepresentation
bin101010101111110…
…0011101011100000
310200221221211001101
41111133203223200
510414142222333
6354154444144
750354440342
oct12537435340
93627854041
101434335968
1167671092a
12340433654
1319b211210
14d86cd292
1585dc867d
hex557e3ae0

1434335968 has 96 divisors (see below), whose sum is σ = 3247340544. Its totient is φ = 617766912.

The previous prime is 1434335927. The next prime is 1434335983. The reversal of 1434335968 is 8695334341.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 897346 + ... + 898942.

It is an arithmetic number, because the mean of its divisors is an integer number (33826464).

Almost surely, 21434335968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434335968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623670272).

1434335968 is an abundant number, since it is smaller than the sum of its proper divisors (1813004576).

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

1434335968 is a wasteful number, since it uses less digits than its factorization.

1434335968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1756 counting only the distinct ones).

The product of its digits is 933120, while the sum is 46.

The square root of 1434335968 is about 37872.6282161669. The cubic root of 1434335968 is about 1127.7607174823.

The spelling of 1434335968 in words is "one billion, four hundred thirty-four million, three hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 127 136 208 221 254 272 416 442 508 544 884 1016 1597 1651 1768 2032 2159 3194 3302 3536 4064 4318 6388 6604 7072 8636 12776 13208 17272 20761 25552 26416 27149 28067 34544 41522 51104 52832 54298 56134 69088 83044 108596 112268 166088 202819 217192 224536 332176 352937 405638 434384 449072 664352 705874 811276 868768 898144 1411748 1622552 2636647 2823496 3245104 3447923 5273294 5646992 6490208 6895846 10546588 11293984 13791692 21093176 27583384 42186352 44822999 55166768 84372704 89645998 110333536 179291996 358583992 717167984 1434335968