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151346430 = 232515710711
BaseRepresentation
bin10010000010101…
…01110011111110
3101112210012021100
421001111303332
5302221041210
623003513530
73515265144
oct1101256376
9345705240
10151346430
11784818a4
12428288a6
1325480a01
1416159594
15d4485c0
hex9055cfe

151346430 has 48 divisors (see below), whose sum is σ = 396044064. Its totient is φ = 40098240.

The previous prime is 151346423. The next prime is 151346431. The reversal of 151346430 is 34643151.

151346430 is a `hidden beast` number, since 1 + 5 + 13 + 4 + 643 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 151346394 and 151346403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151346431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8775 + ... + 19485.

It is an arithmetic number, because the mean of its divisors is an integer number (8250918).

Almost surely, 2151346430 is an apocalyptic number.

151346430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151346430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198022032).

151346430 is an abundant number, since it is smaller than the sum of its proper divisors (244697634).

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

151346430 is a wasteful number, since it uses less digits than its factorization.

151346430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10881 (or 10878 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 151346430 is about 12302.2936885769. The cubic root of 151346430 is about 532.9143241066.

Adding to 151346430 its reverse (34643151), we get a palindrome (185989581).

The spelling of 151346430 in words is "one hundred fifty-one million, three hundred forty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2355 2826 4710 7065 10711 14130 21422 32133 53555 64266 96399 107110 160665 192798 321330 481995 963990 1681627 3363254 5044881 8408135 10089762 15134643 16816270 25224405 30269286 50448810 75673215 151346430