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3454857516 = 22311107331739
BaseRepresentation
bin1100110111101100…
…1111000100101100
322220202220221112210
43031323033010230
524033420420031
61330453330420
7151420542615
oct31573170454
98822827483
103454857516
1115131a4650
12805036a10
134309c21b6
1424abaac0c
15153491746
hexcdecf12c

3454857516 has 96 divisors (see below), whose sum is σ = 8915235840. Its totient is φ = 1032609600.

The previous prime is 3454857503. The next prime is 3454857517. The reversal of 3454857516 is 6157584543.

It is not an unprimeable number, because it can be changed into a prime (3454857517) 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, 4674675 + ... + 4675413.

It is an arithmetic number, because the mean of its divisors is an integer number (92867040).

Almost surely, 23454857516 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 3454857516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457617920).

3454857516 is an abundant number, since it is smaller than the sum of its proper divisors (5460378324).

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

3454857516 is a wasteful number, since it uses less digits than its factorization.

3454857516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1193 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 48.

The square root of 3454857516 is about 58778.0359998529. The cubic root of 3454857516 is about 1511.7386397018.

The spelling of 3454857516 in words is "three billion, four hundred fifty-four million, eight hundred fifty-seven thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 331 428 642 662 739 993 1177 1284 1324 1478 1986 2217 2354 2956 3531 3641 3972 4434 4708 7062 7282 8129 8868 10923 14124 14564 16258 21846 24387 32516 35417 43692 48774 70834 79073 97548 106251 141668 158146 212502 237219 244609 316292 389587 425004 474438 489218 733827 779174 869803 948876 978436 1168761 1467654 1558348 1739606 2337522 2609409 2690699 2935308 3479212 4675044 5218818 5381398 8072097 10437636 10762796 16144194 26173163 32288388 52346326 78519489 104692652 157038978 287904793 314077956 575809586 863714379 1151619172 1727428758 3454857516