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1034197696 = 26731113659
BaseRepresentation
bin111101101001001…
…001101011000000
32200002000200112101
4331221021223000
54104223311241
6250342240144
734425351430
oct7551115300
92602020471
101034197696
11490861044
1224a426054
131363519cc
149b4d02c0
1560bd8e31
hex3da49ac0

1034197696 has 112 divisors (see below), whose sum is σ = 2446202880. Its totient is φ = 424488960.

The previous prime is 1034197667. The next prime is 1034197753. The reversal of 1034197696 is 6967914301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 1569015 + ... + 1569673.

Almost surely, 21034197696 is an apocalyptic number.

1034197696 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 1034197696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223101440).

1034197696 is an abundant number, since it is smaller than the sum of its proper divisors (1412005184).

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

1034197696 is a wasteful number, since it uses less digits than its factorization.

1034197696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The square root of 1034197696 is about 32158.9442612782. The cubic root of 1034197696 is about 1011.2717033423.

The spelling of 1034197696 in words is "one billion, thirty-four million, one hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 113 124 217 224 226 248 434 448 452 496 659 791 868 904 992 1318 1582 1736 1808 1984 2636 3164 3472 3503 3616 4613 5272 6328 6944 7006 7232 9226 10544 12656 13888 14012 18452 20429 21088 24521 25312 28024 36904 40858 42176 49042 50624 56048 73808 74467 81716 98084 112096 143003 147616 148934 163432 196168 224192 286006 295232 297868 326864 392336 521269 572012 595736 653728 784672 1042538 1144024 1191472 1307456 1569344 2085076 2288048 2308477 2382944 4170152 4576096 4616954 4765888 8340304 9152192 9233908 16159339 16680608 18467816 32318678 33361216 36935632 64637356 73871264 129274712 147742528 258549424 517098848 1034197696