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374734848 = 2173953
BaseRepresentation
bin10110010101100…
…000000000000000
3222010010111120110
4112111200000000
51231413003343
6101103511320
712200123265
oct2625400000
9863114513
10374734848
11182589924
12a55b8540
135c8367c7
1437aa926c
1522d72833
hex16560000

374734848 has 72 divisors (see below), whose sum is σ = 1000337688. Its totient is φ = 124780544.

The previous prime is 374734847. The next prime is 374734849. The reversal of 374734848 is 848437473.

It is an interprime number because it is at equal distance from previous prime (374734847) and next prime (374734849).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 374734797 and 374734806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374734847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 392740 + ... + 393692.

It is an arithmetic number, because the mean of its divisors is an integer number (13893579).

Almost surely, 2374734848 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 374734848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500168844).

374734848 is an abundant number, since it is smaller than the sum of its proper divisors (625602840).

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

374734848 is an frugal number, since it uses more digits than its factorization.

374734848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 958 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 48.

The square root of 374734848 is about 19358.0693252194. The cubic root of 374734848 is about 720.9547826981.

The spelling of 374734848 in words is "three hundred seventy-four million, seven hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 953 1024 1536 1906 2048 2859 3072 3812 4096 5718 6144 7624 8192 11436 12288 15248 16384 22872 24576 30496 32768 45744 49152 60992 65536 91488 98304 121984 131072 182976 196608 243968 365952 393216 487936 731904 975872 1463808 1951744 2927616 3903488 5855232 7806976 11710464 15613952 23420928 31227904 46841856 62455808 93683712 124911616 187367424 374734848