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30400434 = 2342341199
BaseRepresentation
bin111001111110…
…1111110110010
32010012111120000
41303331332302
530240303214
63003330430
7516254001
oct163757662
963174500
1030400434
1116184329
12a220a16
1363b532c
144074c38
152a07809
hex1cfdfb2

30400434 has 80 divisors (see below), whose sum is σ = 73180800. Its totient is φ = 9408960.

The previous prime is 30400423. The next prime is 30400451. The reversal of 30400434 is 43400403.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152667 + ... + 152865.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 230400434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30400434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36590400).

30400434 is an abundant number, since it is smaller than the sum of its proper divisors (42780366).

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

30400434 is a wasteful number, since it uses less digits than its factorization.

30400434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 30400434 is about 5513.6588577822. The cubic root of 30400434 is about 312.0996353384.

Adding to 30400434 its reverse (43400403), we get a palindrome (73800837).

The spelling of 30400434 in words is "thirty million, four hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 41 46 54 69 81 82 123 138 162 199 207 246 369 398 414 597 621 738 943 1107 1194 1242 1791 1863 1886 2214 2829 3321 3582 3726 4577 5373 5658 6642 8159 8487 9154 10746 13731 16119 16318 16974 24477 25461 27462 32238 41193 48954 50922 73431 76383 82386 123579 146862 152766 187657 220293 247158 370737 375314 440586 562971 660879 741474 1125942 1321758 1688913 3377826 5066739 10133478 15200217 30400434