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145034496 = 283320983
BaseRepresentation
bin10001010010100…
…00110100000000
3101002220111221000
420221100310000
5244112100441
622220332000
73410526045
oct1051206400
9332814830
10145034496
1174960622
12406a4000
1324080a39
14153951cc
15caed2b6
hex8a50d00

145034496 has 72 divisors (see below), whose sum is σ = 428912960. Its totient is φ = 48342528.

The previous prime is 145034473. The next prime is 145034503. The reversal of 145034496 is 694430541.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145034496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3580 + ... + 17403.

Almost surely, 2145034496 is an apocalyptic number.

145034496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145034496 is an abundant number, since it is smaller than the sum of its proper divisors (283878464).

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

145034496 is an equidigital number, since it uses as much as digits as its factorization.

145034496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21008 (or 20988 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 145034496 is about 12043.0268620476. The cubic root of 145034496 is about 525.4004455016.

It can be divided in two parts, 145034 and 496, that added together give a triangular number (145530 = T539).

The spelling of 145034496 in words is "one hundred forty-five million, thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 20983 41966 62949 83932 125898 167864 188847 251796 335728 377694 503592 566541 671456 755388 1007184 1133082 1342912 1510776 2014368 2266164 2685824 3021552 4028736 4532328 5371648 6043104 8057472 9064656 12086208 16114944 18129312 24172416 36258624 48344832 72517248 145034496