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3454115896 = 23711172314341
BaseRepresentation
bin1100110111100001…
…1010000000111000
322220201112021020101
43031320122000320
524033223202041
61330425405144
7151411333510
oct31570320070
98821467211
103454115896
111512838440
128049397b4
134307c277a
1424aa56840
15153396b31
hexcde1a038

3454115896 has 128 divisors (see below), whose sum is σ = 8921871360. Its totient is φ = 1211443200.

The previous prime is 3454115891. The next prime is 3454115927. The reversal of 3454115896 is 6985114543.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454115891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233686 + ... + 248026.

It is an arithmetic number, because the mean of its divisors is an integer number (69702120).

Almost surely, 23454115896 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 3454115896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460935680).

3454115896 is an abundant number, since it is smaller than the sum of its proper divisors (5467755464).

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

3454115896 is a wasteful number, since it uses less digits than its factorization.

3454115896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14405 (or 14401 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The square root of 3454115896 is about 58771.7270122293. The cubic root of 3454115896 is about 1511.6304619805.

The spelling of 3454115896 in words is "three billion, four hundred fifty-four million, one hundred fifteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 17 22 23 28 34 44 46 56 68 77 88 92 119 136 154 161 184 187 238 253 308 322 374 391 476 506 616 644 748 782 952 1012 1288 1309 1496 1564 1771 2024 2618 2737 3128 3542 4301 5236 5474 7084 8602 10472 10948 14168 14341 17204 21896 28682 30107 34408 57364 60214 100387 114728 120428 157751 200774 240856 243797 315502 329843 401548 487594 631004 659686 803096 975188 1104257 1262008 1319372 1706579 1950376 2208514 2308901 2638744 2681767 3413158 3628273 4417028 4617802 5363534 5607331 6826316 7256546 8834056 9235604 10727068 11214662 13652632 14513092 18471208 18772369 21454136 22429324 25397911 29026184 37544738 39251317 44858648 50795822 61680641 75089476 78502634 101591644 123361282 150178952 157005268 203183288 246722564 314010536 431764487 493445128 863528974 1727057948 3454115896