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145814376 = 23343229617
BaseRepresentation
bin10001011000011…
…11001101101000
3101011101010201110
420230033031220
5244312030001
622245150320
73420254541
oct1054171550
9334333643
10145814376
1175343554
12409bb3a0
13242949c6
14155194c8
15cc043d6
hex8b0f368

145814376 has 64 divisors (see below), whose sum is σ = 375249600. Its totient is φ = 47190528.

The previous prime is 145814369. The next prime is 145814387. The reversal of 145814376 is 673418541.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 236020 + ... + 236636.

It is an arithmetic number, because the mean of its divisors is an integer number (5863275).

Almost surely, 2145814376 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 145814376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187624800).

145814376 is an abundant number, since it is smaller than the sum of its proper divisors (229435224).

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

145814376 is a wasteful number, since it uses less digits than its factorization.

145814376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 894 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 145814376 is about 12075.3623548116. The cubic root of 145814376 is about 526.3404909431.

The spelling of 145814376 in words is "one hundred forty-five million, eight hundred fourteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 229 258 344 458 516 617 687 916 1032 1234 1374 1832 1851 2468 2748 3702 4936 5496 7404 9847 14808 19694 26531 29541 39388 53062 59082 78776 79593 106124 118164 141293 159186 212248 236328 282586 318372 423879 565172 636744 847758 1130344 1695516 3391032 6075599 12151198 18226797 24302396 36453594 48604792 72907188 145814376