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1097676336 = 243373731657
BaseRepresentation
bin100000101101101…
…0011011000110000
32211111110201212010
41001123103120300
54222001120321
6300531002520
736126044361
oct10133233060
92744421763
101097676336
11513678529
12267739440
13146549133
14a5ad5b68
1566577676
hex416d3630

1097676336 has 80 divisors (see below), whose sum is σ = 2921873504. Its totient is φ = 354834432.

The previous prime is 1097676331. The next prime is 1097676337. The reversal of 1097676336 is 6336767901.

It is a super-2 number, since 2×10976763362 = 2409786677228769792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1097676331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661620 + ... + 663276.

Almost surely, 21097676336 is an apocalyptic number.

1097676336 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 1097676336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460936752).

1097676336 is an abundant number, since it is smaller than the sum of its proper divisors (1824197168).

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

1097676336 is a wasteful number, since it uses less digits than its factorization.

1097676336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 48.

The square root of 1097676336 is about 33131.1988313131. The cubic root of 1097676336 is about 1031.5527326898.

The spelling of 1097676336 in words is "one billion, ninety-seven million, six hundred seventy-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 373 444 592 746 888 1119 1492 1657 1776 2238 2984 3314 4476 4971 5968 6628 8952 9942 13256 13801 17904 19884 26512 27602 39768 41403 55204 61309 79536 82806 110408 122618 165612 183927 220816 245236 331224 367854 490472 618061 662448 735708 980944 1236122 1471416 1854183 2472244 2942832 3708366 4944488 7416732 9888976 14833464 22868257 29666928 45736514 68604771 91473028 137209542 182946056 274419084 365892112 548838168 1097676336