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7400393364 = 22372135961269
BaseRepresentation
bin1101110010001100…
…10000101010010100
3201002202010221020010
412321012100222110
5110124000041424
63222200040220
7351250206600
oct67106205224
921082127203
107400393364
113158369081
121526463070
1390c2545b0
14502bc4500
152d4a59229
hex1b9190a94

7400393364 has 288 divisors, whose sum is σ = 22442313600. Its totient is φ = 1880202240.

The previous prime is 7400393327. The next prime is 7400393383. The reversal of 7400393364 is 4633930047.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27510622 + ... + 27510890.

It is an arithmetic number, because the mean of its divisors is an integer number (77924700).

Almost surely, 27400393364 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 7400393364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11221156800).

7400393364 is an abundant number, since it is smaller than the sum of its proper divisors (15041920236).

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

7400393364 is a wasteful number, since it uses less digits than its factorization.

7400393364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

The square root of 7400393364 is about 86025.5390218509. The cubic root of 7400393364 is about 1948.7296888855.

The spelling of 7400393364 in words is "seven billion, four hundred million, three hundred ninety-three thousand, three hundred sixty-four".