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147051344 = 24112947613
BaseRepresentation
bin10001100001111…
…01001101010000
3101020200222112002
420300331031100
5300121120334
622331453132
73433626056
oct1060751520
9336628462
10147051344
1176008940
12412b71a8
1324608a3b
141575c1d6
15cd9ab7e
hex8c3d350

147051344 has 80 divisors (see below), whose sum is σ = 328907520. Its totient is φ = 63060480.

The previous prime is 147051341. The next prime is 147051347. The reversal of 147051344 is 443150741.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (147051341) and next prime (147051347).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147051341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239582 + ... + 240194.

It is an arithmetic number, because the mean of its divisors is an integer number (4111344).

Almost surely, 2147051344 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 147051344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164453760).

147051344 is an abundant number, since it is smaller than the sum of its proper divisors (181856176).

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

147051344 is a wasteful number, since it uses less digits than its factorization.

147051344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 147051344 is about 12126.4728589974. The cubic root of 147051344 is about 527.8246471576.

The spelling of 147051344 in words is "one hundred forty-seven million, fifty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 44 47 58 88 94 116 176 188 232 319 376 464 517 613 638 752 1034 1226 1276 1363 2068 2452 2552 2726 4136 4904 5104 5452 6743 8272 9808 10904 13486 14993 17777 21808 26972 28811 29986 35554 53944 57622 59972 71108 107888 115244 119944 142216 195547 230488 239888 284432 316921 391094 460976 633842 782188 835519 1267684 1564376 1671038 2535368 3128752 3342076 5070736 6684152 9190709 13368304 18381418 36762836 73525672 147051344