340929540 has 384 divisors, whose sum is σ = 1316044800. Its totient is φ = 71539200.

The previous prime is 340929527. The next prime is 340929557. The reversal of 340929540 is 45929043.

It is a super-2 number, since 2×340929540² = 232465902489223200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 340929495 and 340929504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3375490 + ... + 3375590.

It is an arithmetic number, because the mean of its divisors is an integer number (3427200).

Almost surely, 2^340929540 is an apocalyptic number.

340929540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340929540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658022400).

340929540 is an abundant number, since it is smaller than the sum of its proper divisors (975115260).

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

340929540 is a wasteful number, since it uses less digits than its factorization.

340929540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 340929540 is about 18464.2774025955. The cubic root of 340929540 is about 698.5886802598.

The spelling of 340929540 in words is "three hundred forty million, nine hundred twenty-nine thousand, five hundred forty".